Unions of \(3\)-punctured spheres in hyperbolic \(3\)-manifolds (Q2141013)

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Unions of \(3\)-punctured spheres in hyperbolic \(3\)-manifolds
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    Unions of \(3\)-punctured spheres in hyperbolic \(3\)-manifolds (English)
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    23 May 2022
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    In this paper, the author classifies all possible topological types of the pairs \((N(X),X)\) in orientable hyperbolic \(3\)-manifolds \(M\), where \(X\) is a connected component of the union of all the embedded totally geodesic thrice-punctured spheres in \(M\) and \(N(X)\) is a regular neighborhood of \(X\).
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    hyperbolic 3-manifold
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    thrice-punctured sphere
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